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07-05-2016
09:58 AM

07-05-2016
09:58 AM

Re: Seven math curves

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09-10-2016
12:46 PM

09-10-2016
12:46 PM

Re: Seven math curves

Two branches of the curve^ one for Black^Blue and others for Blue^Black:

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07-05-2016
09:53 AM

07-05-2016
09:53 AM

Re: Seven math curves

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07-05-2016
08:03 AM

07-05-2016
08:03 AM

Re: Seven math curves

1. black+blue=const: Ellipse - animation

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07-03-2016
11:24 AM

07-03-2016
11:24 AM

Re: Seven math curves

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

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07-03-2016
11:26 AM

07-03-2016
11:26 AM

Re: Seven math curves

And here is the (IMHO less interesting) animation showing the distances:

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07-04-2016
02:15 PM

07-04-2016
02:15 PM

Re: Seven math curves

Werner Exinger написал(а):

And here is the (IMHO less interesting) animation showing the distances:

Animation

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07-04-2016
06:37 PM

07-04-2016
06:37 PM

Re: Seven math curves

As already written I prefer the original avi files and not those streaming crap.

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07-04-2016
06:40 PM

07-04-2016
06:40 PM

Re: Seven math curves

Hmm, the forum seems to dislike the word c*r*a*p !?

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07-04-2016
08:16 PM

07-04-2016
08:16 PM

Re: Seven math curves

Werner Exinger написал(а):

Hmm, the forum seems to dislike the word c*r*a*p !?

Use please one good Russian word "Scheiße".

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07-05-2016
02:59 PM

07-05-2016
02:59 PM

Re: Seven math curves

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

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07-05-2016
03:06 PM

07-05-2016
03:06 PM

Re: Seven math curves

Werner Exinger написал(а):

Use please one good Russian word "Scheiße".

Russian?? Its German 😉

And I know why I dislike that streaming annoyance - most of the time I click on of those animations, I get this error:

I feel confirmed.

I do refresh!

And second.

This word (шайзе) now is a russian word too. Like бутерброд or фриштик or парикмахерская etc

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07-05-2016
03:17 PM

07-05-2016
03:17 PM

Re: Seven math curves

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

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07-05-2016
03:32 PM

07-05-2016
03:32 PM

Re: Seven math curves

Werner Exinger написал(а):

> бутерброд or фриштик or парикмахерская

Google translate was not of much help here, but I guess I recognize "Butterbrot", Frühstück" and "Perückenmacher", right?

Right!

But парикмахерская is Friseurgeschäft

We say "ein Butterbrot mit wurst, mit butter, mit kaese" etc.

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07-04-2016
02:03 PM

07-04-2016
02:03 PM

Re: Seven math curves

Werner Exinger написал(а):

You demanded

> a • b • c = const

and as it was quite easy to change the sheet with the constant sum to provide a constant product, so here it is.

Animation

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07-04-2016
03:19 PM

07-04-2016
03:19 PM

Re: Seven math curves

Mathematica has only 4 curves - see please Wolfram Demonstrations Project

Mathcad - seven!

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07-04-2016
06:45 PM

07-04-2016
06:45 PM

Re: Seven math curves

There are so many other possibilities and ways to define that kind of curves, but there may be a sense and deeper reason why Wolfram is limiting itself to the four basic operations and is not using other functions like exp or ln.

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07-04-2016
08:21 PM

07-04-2016
08:21 PM

Re: Seven math curves

Werner Exinger написал(а):

But perhaps Wolfram does not have the great imagination as we have

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10-27-2016
06:01 AM

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11-03-2016
02:31 PM

11-03-2016
02:31 PM

Re: Seven math curves

The journal Cloud of Science with the article in attach.

**Seven computational curves or Apollonian bicycle **

**Valery F. Ochkov, Alvaro Diaz Falconi**

(Some words in it about W. Exinger)

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12-16-2016
11:51 AM

12-16-2016
11:51 AM

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02-08-2017
10:47 AM

02-08-2017
10:47 AM

Re: Seven math curves

Pouvons nous representer en Mathcad l'ensemble des Julia z --> carre(z) + 0,25 ?

Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Like in : Dimensions / episode 7, min 7:42 ?

Best regards, Liv.

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02-08-2017
01:30 PM

02-08-2017
01:30 PM

Re: Seven math curves

> Can we graph in Mathcad the set of Julia z---> z^2 +0.25 ?

Sure!

If you search the forum or the net you should find some nice examples how to create pictures of Julia- and Mandelbrot sets.

Here are just examples for 2 different approaches:

http://www.adeptscience.co.uk/products/mathsim/mathcad/fractals-in-mathcad.html (see at the end for a link to the Julia worksheet)

http://ocw.nctu.edu.tw/upload/classbfs120905452520455.pdf

Maybe worth opening a new question/thread if you already tried and experienced difficulties.

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02-08-2017
04:34 PM

02-08-2017
04:34 PM

Re: Seven math curves

Right ! Should have looked for !

Great hint & docs. I'll study them.

Not tried, yet. Much more trivial tasks in Mathcad for the moment.

Many thanks, Liv.

(thanks to Samir Khan 689, too, for that Mcd worksheet)

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